| 遗传中紧空间与散射分解 |
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| 引用本文： | 燕鹏飞,涂振坤.遗传中紧空间与散射分解[J].数学杂志,2005,25(1):107-110. |
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| 作者姓名： | 燕鹏飞 涂振坤 |
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| 作者单位： | 1. 南京师范大学数学系,江苏,南京,210097;安徽大学数学系,安徽,合肥,230039
2. 安徽大学数学系,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目 (1 0 1 71 0 43 ) |
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| 摘 要： | 本文证明了可数仿紧(中紧、亚紧)空间有类似Junnila的刻画，遗传中紧空间不具有类似Junnila的刻画，并给出了每个散射分解有紧有限的开膨胀的充要条件．
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| 关 键 词： | 中紧空间 遗传中紧 可数仿紧（中紧、亚紧） 紧有限 散射分解 |
| 文章编号： | 0255-7797(2005)01-0107-04 |
HEREDITARILY MESOCOMPACT AND SCATTERED PARTITION |
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| YAN Peng-fei ,TU Zhen-kun.HEREDITARILY MESOCOMPACT AND SCATTERED PARTITION[J].Journal of Mathematics,2005,25(1):107-110. |
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| Authors: | YAN Peng-fei TU Zhen-kun |
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| Institution: | YAN Peng-fei 1,2,TU Zhen-kun2 |
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| Abstract: | In the paper, we prove that countable paracompact (mesocompact, metacompact) spaces have the Junnila's chracterization and hereditarily mesocompact spaces don't have it. Also, we give the sufficient conditions for a space having the property that its every scattered partition has a compact-finite open expansion. |
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| Keywords: | mesocompact hereditarily mesocompact countable paracompact (mesocompact metacompact) compact-finite scattered partion |
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